1 OPTIMIZATION PROBLEM 1 We are designing an open-top rectangular box with a square base. We only have 1200 cm² of material. Find the dimensions of such a box with the largest possible volume. 2 OPTIMIZAT ATION DR

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter8: Areas Of Polygons And Circles
Section8.2: Perimeter And Area Of Polygons
Problem 38E: Examine several rectangles, each with an area of 36 in2, and find the dimensions of the rectangle...
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1 OPTIMIZATION PROBLEM 1
We are designing an open-top rectangular box with a square base. We only have 1200 cm² of
material. Find the dimensions of such a box with the largest possible volume.
2 OPTIMIZATION PROBLEM 2
We are making a poster with a total area of 600 in². The poster is supposed to have 1 in
margins on the sides and 3 in margins on the top and bottom. Find the dimensions of such a
poster with the largest printed area.
Transcribed Image Text:1 OPTIMIZATION PROBLEM 1 We are designing an open-top rectangular box with a square base. We only have 1200 cm² of material. Find the dimensions of such a box with the largest possible volume. 2 OPTIMIZATION PROBLEM 2 We are making a poster with a total area of 600 in². The poster is supposed to have 1 in margins on the sides and 3 in margins on the top and bottom. Find the dimensions of such a poster with the largest printed area.
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